The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.

x –3 –2 –1 0 1
h(x) 0 0 –4 –6 0

If every x-intercept of h(x) is shown in the table and has a multiplicity of one, what is the equation of the polynomial function?
h(x) = x3 – 4x2 + x + 6
h(x) = x3 + 4x2 – x – 6
h(x) = x3 + 4x2 + x – 6
h(x) = x4 – 8x3 – 47x2 – 18x + 72